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Finding the Fourth Proportional to 24,042.44, 33,177.48 and 13,430

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Solution

The fourth proportional to 24,042.44, 33,177.48 and 13,430 is: 18,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,042.44 : 33,177.48 = 13,430 : x
  2. Step 2: Convert to fraction form
    24,042.44/33,177.48 = 13,430/x
  3. Step 3: Cross multiply
    24,042.44x = 33,177.48 × 13,430
  4. Step 4: Simplify right side
    24,042.44x = 445,573,556.40
  5. Step 5: Solve for x
    x = 445,573,556.40/24,042.44
  6. Step 6: Final answer
    x = 18,532.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.